Prime p₀= 2833311729368277749 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 6 6 24 18 58 8 16 8 58 18 24 6 6 8 (?)
a_n: 0 8 14 20 44 62 120 128 144 152 210 228 252 258 264 272
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: sabres1616
db: batch=82, k=16, 8 6 6 24 18 58 8 16

SPT(16)	2833309653794027783	0 50 78 86 96 110 144 156 308 320 354 368 378 386 414 464	-2075574249966
STPT(10)	2833309798595990447	0 2 24 26 42 44 60 62 84 86	-1930772287302
STPT(10)	2833310384548271597	0 2 54 56 72 74 90 92 144 146	-1344820006152
SPT(16)	2833310545315106387	0 6 26 62 72 104 114 116 180 182 192 224 234 270 290 296	-1184053171362
SPT(16)	2833311269885669107	0 10 34 40 54 64 84 124 150 190 210 220 234 240 264 274	-459482608642
STPT(10)	2833311397984363337	0 2 30 32 42 44 54 56 84 86	-331383914412
STPT(10)	2833312293444658757	0 2 30 32 42 44 54 56 84 86	564076381008
SPT(16)	2833312495225160401	0 22 82 96 112 118 120 126 172 178 180 186 202 216 276 298	765856882652
SPT(16)	2833312726745704729	0 10 18 52 58 84 102 108 184 190 208 234 240 274 282 292	997377426980
SPT(16)	2833313550749849179	0 4 24 34 60 64 78 82 90 94 108 112 138 148 168 172	1821381571430
TPT(14)	2833313825185473317	0 2 72 74 132 134 162 164 270 272 282 284 330 332	2095817195568